Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5667 and 5674 the smallest integer that is 32154558 that is divisible by both numbers.
Least Common Multiple (LCM) of 5667 and 5674 is 32154558.
LCM(5667,5674) = 32154558
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 5667 and 5674. First we will calculate the prime factors of 5667 and 5674.
Prime Factorization of 5667
3 | 5667 |
1889 | 1889 |
1 |
Prime factors of 5667 are 3,1889. Prime factorization of 5667 in exponential form is:
5667 = 31×18891
Prime Factorization of 5674
2 | 5674 |
2837 | 2837 |
1 |
Prime factors of 5674 are 2,2837. Prime factorization of 5674 in exponential form is:
5674 = 21×28371
Now multiplying the highest exponent prime factors to calculate the LCM of 5667 and 5674.
LCM(5667,5674) = 21×31×18891×28371
LCM(5667,5674) = 32154558
Factors of 5667
List of positive integer factors of 5667 that divides 5667 without a remainder.
1, 3, 1889, 5667
Factors of 5674
List of positive integer factors of 5674 that divides 5674 without a remainder.
1, 2, 2837, 5674
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5667 and 5674, than apply into the LCM equation.
GCF(5667,5674) = 1
LCM(5667,5674) = ( 5667 × 5674) / 1
LCM(5667,5674) = 32154558 / 1
LCM(5667,5674) = 32154558
(i) The LCM of 5674 and 5667 is associative
LCM of 5667 and 5674 = LCM of 5674 and 5667
1. What is the LCM of 5667 and 5674?
Answer: LCM of 5667 and 5674 is 32154558.
2. What are the Factors of 5667?
Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.
3. What are the Factors of 5674?
Answer: Factors of 5674 are 1, 2, 2837, 5674. There are 4 integers that are factors of 5674. The greatest factor of 5674 is 5674.
4. How to Find the LCM of 5667 and 5674?
Answer:
Least Common Multiple of 5667 and 5674 = 32154558
Step 1: Find the prime factorization of 5667
5667 = 3 x 1889
Step 2: Find the prime factorization of 5674
5674 = 2 x 2837
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 32154558 = 2 x 3 x 1889 x 2837
Step 4: Therefore, the least common multiple of 5667 and 5674 is 32154558.